Abstract
The usual lattice gauge theory developed by Wilson1 and discussed by many of the previous speakers has two important advantages over the continuum theory: i) The number of degrees of freedom per-unit-volume is finite, so that the theory is regularized and numerical calculation is possible, ii) Both the weak- and strong-coupling regimes can be evaluated analytically. The long distance behavior of the weak-coupling limit agrees with continuum perturbation theory while the strong-coupling limit shows confinement.
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References
K. Wilson, Phys. Rev. D10, 2455 (1974).
Anna Hasenfratz, Etelka Hasenfratz and Peter Hasenfratz, Nucl. Phys. B180, 353 (1981).
C. Itzykson, Michael E. Peskin and J.B. Zuber, Phys. Lett. 95B, 259 (1980).
N.H. Christ, R. Friedberg and T.D. Lee, Columbia University preprint CU-TP-205, to appear in Nucl. Phys.
J.M. Ziman, Models of Disorder ( New York, Cambridge University Press, 1979 ).
M. Luscher, Nucl. Phys. B180, 52 (1981).
B. Berg, A. Billoire, and C. Rebbi, Brookhaven preprint, BNL 30826. (This paper contains references to other glue-ball mass calculations).
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© 1983 Plenum Press, New York
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Christ, N.H. (1983). QCD on a Random Lattice. In: Perlmutter, A. (eds) Field Theory in Elementary Particles. Studies in the Natural Sciences, vol 19. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-9343-0_26
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DOI: https://doi.org/10.1007/978-1-4615-9343-0_26
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